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Here is Tetraktys I invented when Lavieri once called for Chess < 10
squares. http://www.en.wikipedia.org/wiki/Tetraktys
Above is outside link, below is the CVPage new ''CV'':
________._______ Tetraktys is played in the 9 triangles created by the
______.___._____ 10 dots. There are two piece-types A and B. A moves
____.___.___.___ through sides internally adjacently one space -- like
__.___.___.___._ a normal chess piece. B moves through sides externally
(#5,6,7,8, &9 cells are lowest above.) either one or two spaces away at
option. Each side has one A and one B. Label the cells {1;2,3,4;5,6,7,8,9}
left to right top down conveniently. They would be equivalent to
5;762;98431 and also 9;487;13265. So for example, with the first scheme,
from 5 A can move to 6 only, and if B were there, B can move from 5 to any
of 1, 2, 7, or 9. There are three internal triangles which more mobile B
yet cannot reach off-limits because having no outside border. Object and
victory conditions are either Stalemate, where opponent has no move, or
else more elegant Double Adjacency. Starting positions: Red B1 A4 and Black B9 A7. Piece density 4/9 = normal 44%. Power density obscure. Sides
alternate in series of twelve games. Double adjacency at start or finish of turn is the preferred win
condition. To lose so, it means your either A- or B-piece must move adjacent to both
opponent's A and B across internal sides, or they to you in the victory. Corners covered, 1, 5, and 9 is considered Double Adjacency. So watch to be careful of
adjacency.